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3 years ago

What is the sign of -1042 + 1042?

Mathematics

2 answers:

pentagon [3]3 years ago

7 0

Answer:

Its a negative and it will equal -2804

just olya [345]3 years ago

7 0

C. it would be zero

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The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.

Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

$y = 11 + x$

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

$y^2 = x^2 + x^2$

$y^2 = 2x^2$

This gives:

$(11+x)^2 = 2x^2$

Open bracket

$121 + 22x + x^2= 2x^2$

Collect like terms

$2x^2 - x^2 -22x - 121 = 0$

$x^2 -22x - 121 = 0$

Using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}$

$x = \frac{-(-22)\±\sqrt{968}}{2*1}$

$x = \frac{22\±31.11}{2}$

Split

$x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\$

$x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}$

x can not be negative.

So:

$x = \frac{53.11}{2}$

$x = 26.56$

Recall that:

$y = 11 + x$

$y = 11 + 26.56$

$y = 37.56$

Hence, the dimensions are:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

6 0

3 years ago

PLEASE HELP ME FOR 15 POINTS AND BRAINLIEST QUICK! thanks.

AysviL [449]

Answer:

cumulative frequency

6 0

3 years ago

Read 2 more answers

Which property should Remus use to solve the equation below? 7 q = 49 division property of equality addition property of equalit

AysviL [449]

The division property of equality should Remus used to solve the given equation and this can be determined by using the given data.

Given :

Equation is $7q = 49$ .

The following steps can be used in order to determine the property that Remus use to solve the given equation:

Step 1 - Write the given equation.

$7q = 49$

Step 2 - The arithmetic operations can be used in order to evaluate the given equation.

Step 3 - Using the division property of equality the value of 'q' can be determined.

$q = \dfrac{49}{7}$

$q = 7$

Therefore, the correct option is A).

For more information, refer to the link given below:

brainly.com/question/11897796

6 0

2 years ago

Read 2 more answers

State if triangle is acute obtuse or right

AnnyKZ [126]

Answer:

The triangle is acute

3 0

3 years ago

What is the volume of the composite figure shown? (Use 3.14 for π.)

Nimfa-mama [501]

$The\ volume\ of\ the\ cone:V_1=\frac{1}{3}\pi r^2 H\\(r-a\ radius;\ H-height)\\------------------\\r=7ft;\ H=7ft\\\\V_1=\frac{1}{3}\pi\cdot7^2\cdot7=\frac{1}{3}\pi\cdot343=\frac{343}{3}\pi\ (ft^2)\\-------------------\\The\ volume\ of\ the\ cylinder:V_2=\pi r^2 H\\(r-a\ radius;\ H-height)\\-------------------\\r=7ft;\ H=6ft\\\\V_2=\pi\cdot7^2\cdot6=294\pi\ (ft^3)\\------------------------\\The\ volume\ of\ the\ composite\ figure: V_F=V_1+V_2$

$V_F=\frac{343}{3}\pi+294\pi=\frac{343}{3}\pi+\frac{294\cdot3}{3}\pi=\frac{343}{3}\pi+\frac{882}{3}\pi=\boxed{\frac{1225}{3}\pi\ (ft^3)}\\\\\approx\frac{1225}{3}\cdot3.14}=\frac{3846.5}{3}\approx\boxed{1,282.17\ (ft^3)}\leftarrow answer$

7 0

3 years ago